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Finding the Fourth Proportional to 138,714.66, 191,424.87 and 75,051.06

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Solution

The fourth proportional to 138,714.66, 191,424.87 and 75,051.06 is: 103,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,714.66 : 191,424.87 = 75,051.06 : x
  2. Step 2: Convert to fraction form
    138,714.66/191,424.87 = 75,051.06/x
  3. Step 3: Cross multiply
    138,714.66x = 191,424.87 × 75,051.06
  4. Step 4: Simplify right side
    138,714.66x = 14,366,639,403.86
  5. Step 5: Solve for x
    x = 14,366,639,403.86/138,714.66
  6. Step 6: Final answer
    x = 103,569.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.